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Flura [38]
3 years ago
5

I need help to Find the value of x. Round to the nearest tenth.

Mathematics
1 answer:
Charra [1.4K]3 years ago
7 0

Answer:

4.5

Step-by-step explanation:

We are given opposite and adjacent, so use tangent

tan(37)=x/6

6tan(37)=4.521324301

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Solve for m. -19m − 19 = 4m − 4m + 19
dangina [55]
-19m-19 = 4m-4m+19
-19m-19 = 0+19
-19m = 19+19
-19m = 38
m = 38÷(-19)
m = -2
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4 years ago
Analyze the graph of the exponential decay function the intial value is
Kipish [7]

Answer:

2 minutes ago Suppose a long term investment is modeled by the exponential fuction V(t)= 30(25) ^t/20 where V(t) is the total value after t year 5 minutes ago

Step-by-step explanation:

4 0
3 years ago
URGENT!: Which best explains why these two figures are similar or not similar?
-BARSIC- [3]

Answer:

These two figures are similar because \frac{5}{3} equals \frac{15}{9}.

Step-by-step explanation:

The figures will be similar if their ratios of the two sides are equal. So we need to check the ratios of the figures to see if they are similar or not.

For the smaller figure the ratio is \frac{5}{3}, and for the bigger figure the ratio is \frac{15}{9}. which upon simplification reduces to  \frac{5}{3}.

So we see that the ratios are equal. Thus the figures are similar.

7 0
3 years ago
A baker is building a rectangular solid box from cardboard to be able to safely deliver a birthday cake. The baker wants the vol
k0ka [10]

The length of the rectangular delivery box must be equal to 4 inches.

Let the length of the box be L.

Let the width of the box be W.

Let the height of the box be H.

<u>Given the following data:</u>

  • Volume of box = 224 cubic inches.

Translating the word problem into an algebraic expression;

W = 3 + L  ......equation 1

H = 4 + L  ......equation 2.

Mathematically, the volume of a rectangular solid is given by the formula;

Volume = length * width * height  .....equation 3.

Substituting the values into equation, we have;

224 = L * (3 + L) * (4 + L)\\\\224 = (3L + L^{2})* (4 + L)\\\\224 = 12L + 3L^{2} + 4L^{2} + L^{3} \\\\224 = 12L + 7L^{2} + L^{3}

Rearranging the polynomial, we have;

L^{3} + 7L^{2} +  12L - 224 = 0

We would apply the remainder theorem to solve the polynomial.

According to the remainder theorem, if a polynomial P(x) is divided by (x - r) and there is a remainder R; then P(r) = R.

When x = 3

(x - 3) = 0\\x = 3

P(3) = 3^{3} + 7(3^{2}) + 12(3) - 224\\\\P(3) = 27 + 7(9)  + 36 - 224\\\\P(3) = 27 + 63 + 36 - 224 = -98 \neq 0

We would try with 4;

P(4) = 4^{3} + 7(4^{2}) + 12(4) - 224\\\\P(4) = 64 + 7(16)  + 48 - 224\\\\P(4) = 64 + 112 + 48 - 224\\\\P(4) = 224  - 224 = 0

Therefore, 4 is one of its roots.

Hence, the length of the rectangular delivery box must be equal to 4 inches.

Find more information on polynomial here: brainly.com/question/10689855

3 0
3 years ago
Matthew wants to estimate the mean height of students attending his college. He records the heights of 100 randomly selected stu
Mnenie [13.5K]

The correct option that shows the population of the research carried out by Matthew is;

<u><em>Option D; all the students attending the college</em></u>

<u><em></em></u>

  • We are told that Matthew wants to estimate the mean height of students attending his college.

  • Now, let us say the total number of students in his college is x. If he decides to select 100 students randomly to record their height, it means this 100 students is a sample out of the total number of students which is x that is the population.

        In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.

Read more at; brainly.com/question/6028584

6 0
2 years ago
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